AnswersFL-1200710-Mathematics for College Algebra APolynomial Division

Factoring Trinomials: a = 1 (Continued) Answers

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1
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What are the factors of the trinomial? Select two options.

A
x – 14
B
x + 7
C
x – 7
D
x – 2
E
x + 2
2
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Which model shows the correct factorization of x2 + 2x – 8?

A
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled +, and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, the 2 tiles below + x squared are labeled + x, and the 8 tiles below the negative x tiles are labeled negative.
Option A
B
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled +, and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, the 2 tiles below + x squared are labeled + x, and the 8 tiles below the negative x tiles are labeled negative.
Option B
C
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 4 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled + x, the 2 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative.
Option C
D
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 4 are labeled +. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled + x, the 2 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative.
Option D
3

A polynomial is factored using algebra tiles.

Question illustration
A
x2 – 2x – 8
B
x2 + 2x – 8
C
x2 – 2x – 4
D
x2 + 2x – 4
4

Which shows the factored form of x2 – 12x – 45?

A
(x + 3)(x – 15)
B
(x – 3)(x – 15)
C
(x + 3)(x + 15)
D
(x – 3)(x + 15)
5

The factorization of x2 + 3x – 4 is modeled with algebra tiles.

Question illustration
A
(x + 4) and (x – 4)
B
(x + 3) and (x – 4)
C
(x + 4) and (x – 1)
D
(x + 3) and (x – 1)
6

The factorization of a trinomial is modeled with algebra tiles.

Question illustration
A
x2 + 3x – 6
B
x2 + 5x – 6
C
x2 + 3x – 2
D
x2 + x – 6
7

Which shows the four-term polynomial and factored form of x2 + 6x – 27?

A
x2 + 3x – 9x – 27 = (x + 3)(x – 9)
B
x2 + 6x – 3x– 27 = (x + 6)(x – 3)
C
x2 + 9x – 3x – 27 = (x + 9)(x – 3)
D
x2 + 3x – 6x – 27 = (x + 3)(x – 6)
8

Simon is factoring the polynomial.x2−4x−12(x−6)(x+______)

A
−6
B
−2
C
2
D
6
9

Juanita begins to factor an expression as shown.x2+3x−18=(x+)(x−)

Question illustration
A
3 and 6
B
2 and 9
C
6 and 3
D
9 and 2
10

The partial factorization of x2 – 3x – 10 is modeled with algebra tiles.

Question illustration
A
2 negative unit tiles
B
2 positive unit tiles
C
5 negative unit tiles
D
5 positive unit tiles
11

Mia is factoring the polynomial x2 + 4x – 12. She uses the steps shown.

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
12

The trinomial x2 – 3x – 4 is represented by the model.

Question illustration
A
(x + 1) and (x – 4)
B
(x + 4) and (x – 1)
C
(x + 5) and (x – 4)
D
(x + 4) and (x – 5)
13

If one factor of x2 + 2x – 24 is (x+6), what is the other factor?

A
(x+8)
B
(x–8)
C
(x+4)
D
(x−4)
14

If x – 9 is a factor of x2 – 5x – 36, what is the other factor?

A
x – 4
B
x + 4
C
x – 6
D
x + 6

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